Acta Applicandae Mathematicae

, Volume 112, Issue 3, pp 263–274

Modeling of Free Convection Boundary Layer Flow on a Solid Sphere with Newtonian Heating



In this paper, the mathematical model of free convection boundary layer flow on a solid sphere with Newtonian heating, in which the heat transfer from the surface is proportional to the local surface temperature, is considered. The transformed boundary layer equations are solved numerically using an efficient numerical scheme known as the Keller-box method. Numerical solutions are obtained for the local wall temperature, the local skin friction coefficient, as well as the velocity and temperature profiles. The features of the flow and heat transfer characteristics for different values of the Prandtl number Pr and conjugate parameter γ are analyzed and discussed.


Boundary layer Free convection Solid sphere Newtonian heating Numerical solutions 


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Copyright information

© Springer Science+Business Media B.V. 2010

Authors and Affiliations

  1. 1.Faculty of Industrial Science and TechnologyUniversiti Malaysia PahangUMP Kuantan, PahangMalaysia
  2. 2.School of Mathematical Sciences, Faculty of Science and TechnologyUniversiti Kebangsaan MalaysiaUKM Bangi, SelangorMalaysia
  3. 3.Faculty of MathematicsUniversity of ClujClujRomania

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